The analytic hierarchy process: Does adjusting a pairwise comparison matrix to improve the consistency ratio help?

The analytic hierarchy process: Does adjusting a pairwise comparison matrix to improve the consistency ratio help?

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Article ID: iaor1998530
Country: United Kingdom
Volume: 24
Issue: 8
Start Page Number: 749
End Page Number: 755
Publication Date: Aug 1997
Journal: Computers and Operations Research
Authors: ,
Keywords: decision theory: multiple criteria, analytic hierarchy process
Abstract:

Consider an AHP decision-maker who is uncertain about his or her preferences. In fact, suppose he or she is only able to specify unbiased estimates of these preferences. Then given the decision-maker's final pairwise comparison matrix having a consistency ratio less than 0.10, is it possible for the reliability of the analysis to be improved by using some artificial means to lower the consistency ratio (i.e. a minimum perturbation of pairwise comparison matrix elements which reduces the consistency ratio by a given amount)? In this paper we argue that the answer to this question is yes. To make our point, we employ a Monte Carlo simulation of a decision-maker who picks random judgments out of a distribution centered at his or her true judgment. The simulation results suggest that, if the final consistency ratio is less than 0.10, additional artificial manipulation to lower the consistency ratio will improve, on average, the reliability of the analysis.

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